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A local existence theorem for the quasilinear wave equation with initial values of bounded variation

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1151)

Keywords

  • Weak Solution
  • Rarefaction Wave
  • Entropy Condition
  • Global Weak Solution
  • Constant Versus

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References

  1. DiPERNA, R.J.: Global existence of solutions to nonlinear hyperbolic systems of conservation laws, J. Differential Equations 20 (1976), 187–212.

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  7. TARTAR, L.: Compensated compactness and applications to partial differential equations, in Research Notes in Mathematics, Nonlinear analysis and mechanics: Heriot-Watt Symposium, Vol. 4, ed. R.J. Knops, Pitmann Press (1979).

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© 1985 Springer-Verlag

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Alber, H.D. (1985). A local existence theorem for the quasilinear wave equation with initial values of bounded variation. In: Sleeman, B.D., Jarvis, R.J. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 1151. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074710

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  • DOI: https://doi.org/10.1007/BFb0074710

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15694-9

  • Online ISBN: 978-3-540-39640-6

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